蜂窝夹层板动力分析的Hamilton体系与辛算法

 将蜂窝夹层板动力分析从Lagrange体系改换为Hamilton体系。通过作者早已提出的一条简单而统一的新途径,建立了蜂窝夹层板动力学的相空间非传统Hamilton变分原理,并从该原理推导出相应的Hamilton正则方程、边界条件与初始条件。然后基于这种相空间非传统Hamilton变分原理,提出蜂窝夹层板动力响应分析的辛空间有限元-时间子域法,算例的数值结果表明,这种新方法的计算精度与效率都明显高于国际上常用的Wilson-θ法和Newmark-β法。

Hamilton System and Symplectic Algorithm for Dynamic Analysis of Honeycomb Sandwich Plates

In this paper, the Lagrange system for dynamic analysis of honeycomb sandwich plates is transferred to the Hamilton system. In a simple and unified new way proposed by Luo, the unconventional Hamilton variational principle in phase space for dynamics of honeycomb sandwich plates is established, and the Hamilton canonical equations, boundary and initial conditions can be derived from this variational principle. Based on the unconventional Hamilton variational principle, the symplectic space finite element-time subdomain method is proposed . From the results of the numerical example, it can be seen that the accuracy and the computational efficiency of the new method excel obviously those of widely used Wilson-θ and Newmark-β method.